Let R be the relation over the set of all straight lines in a plane such that l1 R l2 ⇔ l 1⊥ l2. Then, R is _____________ .

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Symmetric A = Set of all straight lines in the plane R={( l1, l2) : l1, l2∈ A : l1 ⊥ l2} Reflexivity: l1 is not ⊥ l1 ⇒ (l1,l1) ∉ R So, R is not reflexive on A. Symmetry: Let (l1, l2) ∈ R ⇒l1⊥l2 ⇒l2⊥l1 ⇒(l2, l1) ∈ R So, R is symmetric on A. Transitivity: Let (l1, l2) ∈ R, (l2, l3) ∈ R ⇒ l1⊥ l2 and l2⊥ l3 But l1 is not ⊥ l3 ⇒(l1, l3) ∉ R So, R is not transitive on A.

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